Two solutions of milk and water are kept in two ves- sels A and B. The ratio of quantity of milk in vessels A and B is 4 : 5 while the ratio of quantity of water in vessels A and B is 8 : 9. It is known that the concen- tration of milk in one of these vessels is between 60% and 80%. What could be the concentration of milk in the other vessel?
Answers
Answer:
54 % < concentration of milk in other vessel < 88.89%
concentration of milk in other vessel is between 54% & 88.89%
Step-by-step explanation:
Two solutions of milk and water are kept in two ves- sels A and B. The ratio of quantity of milk in vessels A and B is 4 : 5 while the ratio of quantity of water in vessels A and B is 8 : 9. It is known that the concen- tration of milk in one of these vessels is between 60% and 80%. What could be the concentration of milk in the other vessel?
Milk in vessels A = 4M
Milk in Vessel B = 5M
Water in Vessel A = 8W
Water in Vessel B = 9W
Concentration of Milk in Vessel A = 4M/8W = M/2W
Concentration of Milk in Vessel B = 5M/9W
let say concentration of milk in vessel A is between 60 % & 80%
60% < M/2W < 80%
lets multiply by 10/9
60*10/9 % < 5M/9W < 80* 10/9 %
66.67 % < 5M/9W < 88.89 % Concentration in vessel B
let say concentration of milk in vessel B is between 60 % & 80%
60% < 5M/9W < 80%
lets multiply by 9/10
60*9/10 % < M/2W < 80* 9/10 %
54 % < M/2W < 72 % Concentration in vessel A
Using both conditions we can conclude that
54 % < concentration of milk in other vessel < 88.89%
concentration of milk in other vessel is between 54% & 88.89%
Answer:
Step-by-step explanation:
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